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Finding the Fourth Proportional to 229,165.92, 343,884.96 and 123,982.56

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Solution

The fourth proportional to 229,165.92, 343,884.96 and 123,982.56 is: 186,047.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,165.92 : 343,884.96 = 123,982.56 : x
  2. Step 2: Convert to fraction form
    229,165.92/343,884.96 = 123,982.56/x
  3. Step 3: Cross multiply
    229,165.92x = 343,884.96 × 123,982.56
  4. Step 4: Simplify right side
    229,165.92x = 42,635,737,686.30
  5. Step 5: Solve for x
    x = 42,635,737,686.30/229,165.92
  6. Step 6: Final answer
    x = 186,047.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.